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Multi-dimensional instability of solitary waves in ultra-relativistic degenerate dense magnetized plasma

Published online by Cambridge University Press:  26 January 2011

A. A. MAMUN ,
S. S. DUHA  and
P. K. SHUKLA
A. A. MAMUN
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh ([email protected]) RUB International Chair, International Centre for Advanced Studies in Physical Sciences, Faculty of Physics and Astronomy, Ruhr-Universität Bochum, D-44780 Bochum, Germany
S. S. DUHA
Affiliation:
Department of Physics, Jahangirnagar University, Savar, Dhaka-1342, Bangladesh ([email protected])
P. K. SHUKLA
Affiliation:
RUB International Chair, International Centre for Advanced Studies in Physical Sciences, Faculty of Physics and Astronomy, Ruhr-Universität Bochum, D-44780 Bochum, Germany
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Abstract

The basic features and multi-dimensional instability of electrostatic solitary waves propagating in an ultra-relativistic degenerate dense magnetized plasma have been investigated by the reductive perturbation method and the small-k perturbation expansion technique. The Zakharov–Kuznetsov (ZK) equation has been derived, and its numerical solutions for some special cases have been analysed to identify the basic features (viz. amplitude, width, instability, etc.) of these electrostatic solitary structures. The implications of our results in some compact astrophysical objects, particularly white dwarfs and neutron stars, have been briefly discussed.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 5 , October 2011 , pp. 617 - 628
Copyright
Copyright © Cambridge University Press 2011

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